Irregular pentachoron
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Irregular pentachoron | |
---|---|
Rank | 4 |
Notation | |
Bowers style acronym | Irpen |
Coxeter diagram | ooooo&#x |
Elements | |
Cells | 1+1+1+1+1 irregular tetrahedra |
Faces | 1+1+1+1+1+1+1+1+1+1 scalene triangles |
Edges | 1+1+1+1+1+1+1+1+1+1 |
Vertices | 1+1+1+1+1 |
Vertex figure | 1+1+1+1+1 irregular tetrahedra |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Irregular pentachoron |
Conjugate | None |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I×I×I×I, order 1 |
Convex | Yes |
Nature | Tame |
An irregular pentachoron is a pentachoron with no symmetries. Generally, though not necessarily, it has five different irregular tetrahedra for faces.